The fundamental theorem of Hopf modules for Hopf braces

Abstract

In this paper, we prove the fundamental theorem of Hopf modules associated with a Hopf brace.

Keywords:

• Hopf algebra
• Hopf brace
• Hopf module

2020 Mathematics Subject Classifications:

• 18M05
• 16S40
• 16T05

Acknowledgements

The author was supported by Ministerio de Economía y Competitividad of Spain. Agencia Estatal de Investigación. Unión Europea – Fondo Europeo de Desarrollo Regional. Grant MTM2016-79661-P: Homología, homotopía e invariantes categóricos en grupos y álgebras no asociativas.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by European Regional Development Fund [grant number MTM2016-79661-P] and Ministerio de Economìa y Competitividad of Spain [grant number MTM2016-76661-P].